Properties

Label 8.21.d.b.3.15
Level 8
Weight 21
Character 8.3
Analytic conductor 20.281
Analytic rank 0
Dimension 18
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 8 = 2^{3} \)
Weight: \( k \) = \( 21 \)
Character orbit: \([\chi]\) = 8.d (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(20.2811012082\)
Analytic rank: \(0\)
Dimension: \(18\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: multiple of \( 2^{153}\cdot 3^{15}\cdot 5^{4}\cdot 7^{2} \)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 3.15
Root \(-24233.2 + 2.60731e6i\)
Character \(\chi\) = 8.3
Dual form 8.21.d.b.3.16

$q$-expansion

\(f(q)\) \(=\) \(q\)\(+(829.658 - 600.204i) q^{2}\) \(-103279. q^{3}\) \(+(328087. - 995927. i) q^{4}\) \(-1.04292e7i q^{5}\) \(+(-8.56862e7 + 6.19884e7i) q^{6}\) \(-3.68005e8i q^{7}\) \(+(-3.25559e8 - 1.02320e9i) q^{8}\) \(+7.17976e9 q^{9}\) \(+O(q^{10})\) \(q\)\(+(829.658 - 600.204i) q^{2}\) \(-103279. q^{3}\) \(+(328087. - 995927. i) q^{4}\) \(-1.04292e7i q^{5}\) \(+(-8.56862e7 + 6.19884e7i) q^{6}\) \(-3.68005e8i q^{7}\) \(+(-3.25559e8 - 1.02320e9i) q^{8}\) \(+7.17976e9 q^{9}\) \(+(-6.25967e9 - 8.65271e9i) q^{10}\) \(-3.35341e10 q^{11}\) \(+(-3.38845e10 + 1.02858e11i) q^{12}\) \(+1.95314e11i q^{13}\) \(+(-2.20878e11 - 3.05318e11i) q^{14}\) \(+1.07712e12i q^{15}\) \(+(-8.84229e11 - 6.53502e11i) q^{16}\) \(-1.59958e11 q^{17}\) \(+(5.95674e12 - 4.30932e12i) q^{18}\) \(+4.90447e12 q^{19}\) \(+(-1.03868e13 - 3.42170e12i) q^{20}\) \(+3.80072e13i q^{21}\) \(+(-2.78218e13 + 2.01273e13i) q^{22}\) \(-3.43682e13i q^{23}\) \(+(3.36234e13 + 1.05675e14i) q^{24}\) \(-1.34018e13 q^{25}\) \(+(1.17228e14 + 1.62044e14i) q^{26}\) \(-3.81407e14 q^{27}\) \(+(-3.66506e14 - 1.20738e14i) q^{28}\) \(+1.07520e14i q^{29}\) \(+(6.46493e14 + 8.93643e14i) q^{30}\) \(+3.09876e13i q^{31}\) \(+(-1.12584e15 - 1.14654e13i) q^{32}\) \(+3.46337e15 q^{33}\) \(+(-1.32710e14 + 9.60073e13i) q^{34}\) \(-3.83802e15 q^{35}\) \(+(2.35559e15 - 7.15052e15i) q^{36}\) \(+4.26943e15i q^{37}\) \(+(4.06903e15 - 2.94368e15i) q^{38}\) \(-2.01719e16i q^{39}\) \(+(-1.06712e16 + 3.39533e15i) q^{40}\) \(-3.78792e15 q^{41}\) \(+(2.28121e16 + 3.15330e16i) q^{42}\) \(-2.30212e15 q^{43}\) \(+(-1.10021e16 + 3.33975e16i) q^{44}\) \(-7.48795e16i q^{45}\) \(+(-2.06279e16 - 2.85139e16i) q^{46}\) \(-3.45229e16i q^{47}\) \(+(9.13223e16 + 6.74930e16i) q^{48}\) \(-5.56357e16 q^{49}\) \(+(-1.11189e16 + 8.04382e15i) q^{50}\) \(+1.65203e16 q^{51}\) \(+(1.94519e17 + 6.40802e16i) q^{52}\) \(-3.51656e16i q^{53}\) \(+(-3.16437e17 + 2.28922e17i) q^{54}\) \(+3.49736e17i q^{55}\) \(+(-3.76542e17 + 1.19807e17i) q^{56}\) \(-5.06529e17 q^{57}\) \(+(6.45338e16 + 8.92047e16i) q^{58}\) \(+2.54124e17 q^{59}\) \(+(1.07273e18 + 3.53390e17i) q^{60}\) \(-1.01336e18i q^{61}\) \(+(1.85989e16 + 2.57091e16i) q^{62}\) \(-2.64219e18i q^{63}\) \(+(-9.40944e17 + 6.66222e17i) q^{64}\) \(+2.03698e18 q^{65}\) \(+(2.87341e18 - 2.07873e18i) q^{66}\) \(-2.98877e18 q^{67}\) \(+(-5.24802e16 + 1.59306e17i) q^{68}\) \(+3.54952e18i q^{69}\) \(+(-3.18424e18 + 2.30359e18i) q^{70}\) \(+8.39501e17i q^{71}\) \(+(-2.33743e18 - 7.34631e18i) q^{72}\) \(+3.32042e18 q^{73}\) \(+(2.56253e18 + 3.54216e18i) q^{74}\) \(+1.38413e18 q^{75}\) \(+(1.60909e18 - 4.88449e18i) q^{76}\) \(+1.23407e19i q^{77}\) \(+(-1.21072e19 - 1.67357e19i) q^{78}\) \(+1.22738e19i q^{79}\) \(+(-6.81553e18 + 9.22185e18i) q^{80}\) \(+1.43570e19 q^{81}\) \(+(-3.14267e18 + 2.27352e18i) q^{82}\) \(-2.23129e19 q^{83}\) \(+(3.78524e19 + 1.24697e19i) q^{84}\) \(+1.66824e18i q^{85}\) \(+(-1.90997e18 + 1.38174e18i) q^{86}\) \(-1.11045e19i q^{87}\) \(+(1.09173e19 + 3.43120e19i) q^{88}\) \(-3.15513e19 q^{89}\) \(+(-4.49430e19 - 6.21244e19i) q^{90}\) \(+7.18767e19 q^{91}\) \(+(-3.42282e19 - 1.12758e19i) q^{92}\) \(-3.20037e18i q^{93}\) \(+(-2.07208e19 - 2.86422e19i) q^{94}\) \(-5.11499e19i q^{95}\) \(+(1.16276e20 + 1.18413e18i) q^{96}\) \(+8.67034e19 q^{97}\) \(+(-4.61586e19 + 3.33927e19i) q^{98}\) \(-2.40767e20 q^{99}\) \(+O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \(18q \) \(\mathstrut -\mathstrut 398q^{2} \) \(\mathstrut -\mathstrut 114228q^{3} \) \(\mathstrut +\mathstrut 724980q^{4} \) \(\mathstrut -\mathstrut 91643748q^{6} \) \(\mathstrut -\mathstrut 3105291368q^{8} \) \(\mathstrut +\mathstrut 10197650262q^{9} \) \(\mathstrut +\mathstrut O(q^{10}) \) \(18q \) \(\mathstrut -\mathstrut 398q^{2} \) \(\mathstrut -\mathstrut 114228q^{3} \) \(\mathstrut +\mathstrut 724980q^{4} \) \(\mathstrut -\mathstrut 91643748q^{6} \) \(\mathstrut -\mathstrut 3105291368q^{8} \) \(\mathstrut +\mathstrut 10197650262q^{9} \) \(\mathstrut +\mathstrut 742754160q^{10} \) \(\mathstrut +\mathstrut 27862395020q^{11} \) \(\mathstrut -\mathstrut 212292734088q^{12} \) \(\mathstrut -\mathstrut 431248136928q^{14} \) \(\mathstrut -\mathstrut 958534870512q^{16} \) \(\mathstrut +\mathstrut 4343925139172q^{17} \) \(\mathstrut -\mathstrut 4517494524426q^{18} \) \(\mathstrut -\mathstrut 360681653556q^{19} \) \(\mathstrut -\mathstrut 32520172742880q^{20} \) \(\mathstrut -\mathstrut 66275482922148q^{22} \) \(\mathstrut +\mathstrut 22289322475152q^{24} \) \(\mathstrut -\mathstrut 395727477008910q^{25} \) \(\mathstrut +\mathstrut 154289718058128q^{26} \) \(\mathstrut -\mathstrut 1208398438889064q^{27} \) \(\mathstrut -\mathstrut 394619539621440q^{28} \) \(\mathstrut +\mathstrut 223250517248160q^{30} \) \(\mathstrut -\mathstrut 2833814588985248q^{32} \) \(\mathstrut +\mathstrut 4461969540487176q^{33} \) \(\mathstrut -\mathstrut 939462769526748q^{34} \) \(\mathstrut +\mathstrut 3615863153468160q^{35} \) \(\mathstrut +\mathstrut 1560521174396700q^{36} \) \(\mathstrut +\mathstrut 12905383833568412q^{38} \) \(\mathstrut +\mathstrut 11813880412973760q^{40} \) \(\mathstrut +\mathstrut 16990829756398820q^{41} \) \(\mathstrut +\mathstrut 38127588900300480q^{42} \) \(\mathstrut -\mathstrut 27498466356753396q^{43} \) \(\mathstrut +\mathstrut 33178844343953144q^{44} \) \(\mathstrut -\mathstrut 21739818881100192q^{46} \) \(\mathstrut +\mathstrut 28364131397385312q^{48} \) \(\mathstrut -\mathstrut 252965388018862638q^{49} \) \(\mathstrut +\mathstrut 41705619584456530q^{50} \) \(\mathstrut -\mathstrut 34182574557901800q^{51} \) \(\mathstrut -\mathstrut 44583718369992480q^{52} \) \(\mathstrut -\mathstrut 579400710808894920q^{54} \) \(\mathstrut -\mathstrut 505574909383001472q^{56} \) \(\mathstrut -\mathstrut 522453489061123704q^{57} \) \(\mathstrut -\mathstrut 677523738697093680q^{58} \) \(\mathstrut +\mathstrut 93112194700366220q^{59} \) \(\mathstrut +\mathstrut 1631640690429240000q^{60} \) \(\mathstrut +\mathstrut 1780090172849178240q^{62} \) \(\mathstrut +\mathstrut 175441813011570240q^{64} \) \(\mathstrut +\mathstrut 1575343920200472960q^{65} \) \(\mathstrut +\mathstrut 8001047667731567880q^{66} \) \(\mathstrut -\mathstrut 1452645642074335668q^{67} \) \(\mathstrut +\mathstrut 1153770320813215592q^{68} \) \(\mathstrut -\mathstrut 6151558949299572480q^{70} \) \(\mathstrut -\mathstrut 5306529204268842936q^{72} \) \(\mathstrut +\mathstrut 9882821313863175972q^{73} \) \(\mathstrut -\mathstrut 5642095430673385488q^{74} \) \(\mathstrut +\mathstrut 13414715768769378060q^{75} \) \(\mathstrut -\mathstrut 8416781249057544840q^{76} \) \(\mathstrut -\mathstrut 14599907290310144160q^{78} \) \(\mathstrut -\mathstrut 22104885212702947200q^{80} \) \(\mathstrut -\mathstrut 32315102667184036518q^{81} \) \(\mathstrut +\mathstrut 10320950271478847652q^{82} \) \(\mathstrut -\mathstrut 46425529968268557748q^{83} \) \(\mathstrut +\mathstrut 17095266896298568320q^{84} \) \(\mathstrut +\mathstrut 33555485282446075868q^{86} \) \(\mathstrut +\mathstrut 32344350945394345872q^{88} \) \(\mathstrut -\mathstrut 28075170672250840156q^{89} \) \(\mathstrut -\mathstrut 33204348719592139440q^{90} \) \(\mathstrut +\mathstrut 161045136122144660736q^{91} \) \(\mathstrut -\mathstrut 932896292396925120q^{92} \) \(\mathstrut -\mathstrut 107259275077774974528q^{94} \) \(\mathstrut +\mathstrut 68580843917215697472q^{96} \) \(\mathstrut +\mathstrut 127276645173366650724q^{97} \) \(\mathstrut +\mathstrut 154837385163137764402q^{98} \) \(\mathstrut +\mathstrut 62802542261652714084q^{99} \) \(\mathstrut +\mathstrut O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/8\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 829.658 600.204i 0.810212 0.586136i
\(3\) −103279. −1.74904 −0.874519 0.484991i \(-0.838823\pi\)
−0.874519 + 0.484991i \(0.838823\pi\)
\(4\) 328087. 995927.i 0.312888 0.949790i
\(5\) 1.04292e7i 1.06796i −0.845499 0.533978i \(-0.820697\pi\)
0.845499 0.533978i \(-0.179303\pi\)
\(6\) −8.56862e7 + 6.19884e7i −1.41709 + 1.02517i
\(7\) 3.68005e8i 1.30279i −0.758740 0.651394i \(-0.774185\pi\)
0.758740 0.651394i \(-0.225815\pi\)
\(8\) −3.25559e8 1.02320e9i −0.303200 0.952927i
\(9\) 7.17976e9 2.05914
\(10\) −6.25967e9 8.65271e9i −0.625967 0.865271i
\(11\) −3.35341e10 −1.29289 −0.646443 0.762962i \(-0.723744\pi\)
−0.646443 + 0.762962i \(0.723744\pi\)
\(12\) −3.38845e10 + 1.02858e11i −0.547254 + 1.66122i
\(13\) 1.95314e11i 1.41677i 0.705824 + 0.708387i \(0.250577\pi\)
−0.705824 + 0.708387i \(0.749423\pi\)
\(14\) −2.20878e11 3.05318e11i −0.763611 1.05554i
\(15\) 1.07712e12i 1.86789i
\(16\) −8.84229e11 6.53502e11i −0.804202 0.594357i
\(17\) −1.59958e11 −0.0793445 −0.0396722 0.999213i \(-0.512631\pi\)
−0.0396722 + 0.999213i \(0.512631\pi\)
\(18\) 5.95674e12 4.30932e12i 1.66834 1.20693i
\(19\) 4.90447e12 0.799937 0.399969 0.916529i \(-0.369021\pi\)
0.399969 + 0.916529i \(0.369021\pi\)
\(20\) −1.03868e13 3.42170e12i −1.01433 0.334151i
\(21\) 3.80072e13i 2.27863i
\(22\) −2.78218e13 + 2.01273e13i −1.04751 + 0.757807i
\(23\) 3.43682e13i 0.829619i −0.909908 0.414810i \(-0.863848\pi\)
0.909908 0.414810i \(-0.136152\pi\)
\(24\) 3.36234e13 + 1.05675e14i 0.530309 + 1.66671i
\(25\) −1.34018e13 −0.140528
\(26\) 1.17228e14 + 1.62044e14i 0.830423 + 1.14789i
\(27\) −3.81407e14 −1.85247
\(28\) −3.66506e14 1.20738e14i −1.23737 0.407627i
\(29\) 1.07520e14i 0.255569i 0.991802 + 0.127785i \(0.0407867\pi\)
−0.991802 + 0.127785i \(0.959213\pi\)
\(30\) 6.46493e14 + 8.93643e14i 1.09484 + 1.51339i
\(31\) 3.09876e13i 0.0378069i 0.999821 + 0.0189035i \(0.00601752\pi\)
−0.999821 + 0.0189035i \(0.993982\pi\)
\(32\) −1.12584e15 1.14654e13i −0.999948 0.0101833i
\(33\) 3.46337e15 2.26131
\(34\) −1.32710e14 + 9.60073e13i −0.0642859 + 0.0465067i
\(35\) −3.83802e15 −1.39132
\(36\) 2.35559e15 7.15052e15i 0.644280 1.95575i
\(37\) 4.26943e15i 0.887876i 0.896057 + 0.443938i \(0.146419\pi\)
−0.896057 + 0.443938i \(0.853581\pi\)
\(38\) 4.06903e15 2.94368e15i 0.648119 0.468872i
\(39\) 2.01719e16i 2.47799i
\(40\) −1.06712e16 + 3.39533e15i −1.01768 + 0.323804i
\(41\) −3.78792e15 −0.282203 −0.141102 0.989995i \(-0.545064\pi\)
−0.141102 + 0.989995i \(0.545064\pi\)
\(42\) 2.28121e16 + 3.15330e16i 1.33559 + 1.84617i
\(43\) −2.30212e15 −0.106523 −0.0532614 0.998581i \(-0.516962\pi\)
−0.0532614 + 0.998581i \(0.516962\pi\)
\(44\) −1.10021e16 + 3.33975e16i −0.404529 + 1.22797i
\(45\) 7.48795e16i 2.19906i
\(46\) −2.06279e16 2.85139e16i −0.486270 0.672168i
\(47\) 3.45229e16i 0.656340i −0.944619 0.328170i \(-0.893568\pi\)
0.944619 0.328170i \(-0.106432\pi\)
\(48\) 9.13223e16 + 6.74930e16i 1.40658 + 1.03955i
\(49\) −5.56357e16 −0.697256
\(50\) −1.11189e16 + 8.04382e15i −0.113858 + 0.0823687i
\(51\) 1.65203e16 0.138777
\(52\) 1.94519e17 + 6.40802e16i 1.34564 + 0.443292i
\(53\) 3.51656e16i 0.201076i −0.994933 0.100538i \(-0.967944\pi\)
0.994933 0.100538i \(-0.0320563\pi\)
\(54\) −3.16437e17 + 2.28922e17i −1.50089 + 1.08580i
\(55\) 3.49736e17i 1.38074i
\(56\) −3.76542e17 + 1.19807e17i −1.24146 + 0.395006i
\(57\) −5.06529e17 −1.39912
\(58\) 6.45338e16 + 8.92047e16i 0.149799 + 0.207066i
\(59\) 2.54124e17 0.497194 0.248597 0.968607i \(-0.420030\pi\)
0.248597 + 0.968607i \(0.420030\pi\)
\(60\) 1.07273e18 + 3.53390e17i 1.77411 + 0.584443i
\(61\) 1.01336e18i 1.42057i −0.703912 0.710287i \(-0.748565\pi\)
0.703912 0.710287i \(-0.251435\pi\)
\(62\) 1.85989e16 + 2.57091e16i 0.0221600 + 0.0306316i
\(63\) 2.64219e18i 2.68262i
\(64\) −9.40944e17 + 6.66222e17i −0.816139 + 0.577855i
\(65\) 2.03698e18 1.51305
\(66\) 2.87341e18 2.07873e18i 1.83214 1.32543i
\(67\) −2.98877e18 −1.63963 −0.819813 0.572632i \(-0.805923\pi\)
−0.819813 + 0.572632i \(0.805923\pi\)
\(68\) −5.24802e16 + 1.59306e17i −0.0248260 + 0.0753606i
\(69\) 3.54952e18i 1.45104i
\(70\) −3.18424e18 + 2.30359e18i −1.12726 + 0.815503i
\(71\) 8.39501e17i 0.257892i 0.991652 + 0.128946i \(0.0411594\pi\)
−0.991652 + 0.128946i \(0.958841\pi\)
\(72\) −2.33743e18 7.34631e18i −0.624330 1.96221i
\(73\) 3.32042e18 0.772617 0.386308 0.922370i \(-0.373750\pi\)
0.386308 + 0.922370i \(0.373750\pi\)
\(74\) 2.56253e18 + 3.54216e18i 0.520417 + 0.719368i
\(75\) 1.38413e18 0.245789
\(76\) 1.60909e18 4.88449e18i 0.250291 0.759773i
\(77\) 1.23407e19i 1.68436i
\(78\) −1.21072e19 1.67357e19i −1.45244 2.00770i
\(79\) 1.22738e19i 1.29631i 0.761510 + 0.648153i \(0.224458\pi\)
−0.761510 + 0.648153i \(0.775542\pi\)
\(80\) −6.81553e18 + 9.22185e18i −0.634746 + 0.858851i
\(81\) 1.43570e19 1.18090
\(82\) −3.14267e18 + 2.27352e18i −0.228644 + 0.165409i
\(83\) −2.23129e19 −1.43805 −0.719027 0.694982i \(-0.755412\pi\)
−0.719027 + 0.694982i \(0.755412\pi\)
\(84\) 3.78524e19 + 1.24697e19i 2.16422 + 0.712956i
\(85\) 1.66824e18i 0.0847363i
\(86\) −1.90997e18 + 1.38174e18i −0.0863061 + 0.0624369i
\(87\) 1.11045e19i 0.447001i
\(88\) 1.09173e19 + 3.43120e19i 0.392003 + 1.23203i
\(89\) −3.15513e19 −1.01185 −0.505926 0.862577i \(-0.668849\pi\)
−0.505926 + 0.862577i \(0.668849\pi\)
\(90\) −4.49430e19 6.21244e19i −1.28895 1.78171i
\(91\) 7.18767e19 1.84576
\(92\) −3.42282e19 1.12758e19i −0.787964 0.259578i
\(93\) 3.20037e18i 0.0661258i
\(94\) −2.07208e19 2.86422e19i −0.384705 0.531775i
\(95\) 5.11499e19i 0.854297i
\(96\) 1.16276e20 + 1.18413e18i 1.74895 + 0.0178110i
\(97\) 8.67034e19 1.17576 0.587880 0.808948i \(-0.299963\pi\)
0.587880 + 0.808948i \(0.299963\pi\)
\(98\) −4.61586e19 + 3.33927e19i −0.564926 + 0.408687i
\(99\) −2.40767e20 −2.66223
\(100\) −4.39696e18 + 1.33472e19i −0.0439696 + 0.133472i
\(101\) 1.28845e20i 1.16642i 0.812323 + 0.583208i \(0.198203\pi\)
−0.812323 + 0.583208i \(0.801797\pi\)
\(102\) 1.37062e19 9.91554e18i 0.112438 0.0813419i
\(103\) 1.79112e20i 1.33277i −0.745610 0.666383i \(-0.767842\pi\)
0.745610 0.666383i \(-0.232158\pi\)
\(104\) 1.99845e20 6.35863e19i 1.35008 0.429566i
\(105\) 3.96387e20 2.43347
\(106\) −2.11065e19 2.91754e19i −0.117858 0.162914i
\(107\) −2.99118e20 −1.52056 −0.760282 0.649593i \(-0.774939\pi\)
−0.760282 + 0.649593i \(0.774939\pi\)
\(108\) −1.25135e20 + 3.79853e20i −0.579616 + 1.75946i
\(109\) 3.19327e20i 1.34887i −0.738334 0.674435i \(-0.764387\pi\)
0.738334 0.674435i \(-0.235613\pi\)
\(110\) 2.09913e20 + 2.90161e20i 0.809304 + 1.11870i
\(111\) 4.40942e20i 1.55293i
\(112\) −2.40492e20 + 3.25401e20i −0.774321 + 1.04770i
\(113\) −2.35418e20 −0.693515 −0.346758 0.937955i \(-0.612717\pi\)
−0.346758 + 0.937955i \(0.612717\pi\)
\(114\) −4.20245e20 + 3.04020e20i −1.13359 + 0.820076i
\(115\) −3.58435e20 −0.885996
\(116\) 1.07082e20 + 3.52759e19i 0.242737 + 0.0799647i
\(117\) 1.40231e21i 2.91733i
\(118\) 2.10836e20 1.52526e20i 0.402833 0.291424i
\(119\) 5.88654e19i 0.103369i
\(120\) 1.10211e21 3.50667e20i 1.77997 0.566346i
\(121\) 4.51788e20 0.671554
\(122\) −6.08221e20 8.40739e20i −0.832651 1.15097i
\(123\) 3.91212e20 0.493584
\(124\) 3.08614e19 + 1.01666e19i 0.0359086 + 0.0118293i
\(125\) 8.54840e20i 0.917877i
\(126\) −1.58585e21 2.19211e21i −1.57238 2.17349i
\(127\) 5.48014e20i 0.502058i 0.967980 + 0.251029i \(0.0807690\pi\)
−0.967980 + 0.251029i \(0.919231\pi\)
\(128\) −3.80793e20 + 1.11749e21i −0.322544 + 0.946554i
\(129\) 2.37760e20 0.186313
\(130\) 1.69000e21 1.22260e21i 1.22589 0.886854i
\(131\) 2.37091e21 1.59295 0.796474 0.604673i \(-0.206696\pi\)
0.796474 + 0.604673i \(0.206696\pi\)
\(132\) 1.13629e21 3.44926e21i 0.707537 2.14777i
\(133\) 1.80487e21i 1.04215i
\(134\) −2.47966e21 + 1.79387e21i −1.32844 + 0.961044i
\(135\) 3.97779e21i 1.97835i
\(136\) 5.20757e19 + 1.63669e20i 0.0240573 + 0.0756095i
\(137\) −1.87304e21 −0.804158 −0.402079 0.915605i \(-0.631712\pi\)
−0.402079 + 0.915605i \(0.631712\pi\)
\(138\) 2.13043e21 + 2.94488e21i 0.850505 + 1.17565i
\(139\) −4.17320e21 −1.54996 −0.774982 0.631983i \(-0.782241\pi\)
−0.774982 + 0.631983i \(0.782241\pi\)
\(140\) −1.25921e21 + 3.82239e21i −0.435328 + 1.32146i
\(141\) 3.56549e21i 1.14796i
\(142\) 5.03872e20 + 6.96498e20i 0.151160 + 0.208947i
\(143\) 6.54970e21i 1.83173i
\(144\) −6.34855e21 4.69199e21i −1.65596 1.22386i
\(145\) 1.12135e21 0.272937
\(146\) 2.75481e21 1.99293e21i 0.625984 0.452859i
\(147\) 5.74599e21 1.21953
\(148\) 4.25204e21 + 1.40075e21i 0.843296 + 0.277806i
\(149\) 4.63926e21i 0.860174i 0.902787 + 0.430087i \(0.141517\pi\)
−0.902787 + 0.430087i \(0.858483\pi\)
\(150\) 1.14835e21 8.30757e20i 0.199141 0.144066i
\(151\) 6.55978e21i 1.06444i 0.846607 + 0.532218i \(0.178641\pi\)
−0.846607 + 0.532218i \(0.821359\pi\)
\(152\) −1.59669e21 5.01824e21i −0.242541 0.762282i
\(153\) −1.14846e21 −0.163381
\(154\) 7.40696e21 + 1.02386e22i 0.987262 + 1.36469i
\(155\) 3.23178e20 0.0403761
\(156\) −2.00897e22 6.61813e21i −2.35357 0.775335i
\(157\) 1.23081e22i 1.35268i −0.736589 0.676340i \(-0.763565\pi\)
0.736589 0.676340i \(-0.236435\pi\)
\(158\) 7.36677e21 + 1.01830e22i 0.759812 + 1.05028i
\(159\) 3.63187e21i 0.351689i
\(160\) −1.19575e20 + 1.17417e22i −0.0108753 + 1.06790i
\(161\) −1.26477e22 −1.08082
\(162\) 1.19114e22 8.61715e21i 0.956783 0.692171i
\(163\) −1.08316e21 −0.0818120 −0.0409060 0.999163i \(-0.513024\pi\)
−0.0409060 + 0.999163i \(0.513024\pi\)
\(164\) −1.24277e21 + 3.77249e21i −0.0882981 + 0.268034i
\(165\) 3.61204e22i 2.41497i
\(166\) −1.85121e22 + 1.33923e22i −1.16513 + 0.842896i
\(167\) 1.57673e22i 0.934531i −0.884117 0.467266i \(-0.845239\pi\)
0.884117 0.467266i \(-0.154761\pi\)
\(168\) 3.88889e22 1.23736e22i 2.17136 0.690880i
\(169\) −1.91427e22 −1.00725
\(170\) 1.00128e21 + 1.38407e21i 0.0496670 + 0.0686544i
\(171\) 3.52129e22 1.64718
\(172\) −7.55295e20 + 2.29274e21i −0.0333298 + 0.101174i
\(173\) 1.33989e22i 0.557968i −0.960296 0.278984i \(-0.910002\pi\)
0.960296 0.278984i \(-0.0899976\pi\)
\(174\) −6.66499e21 9.21297e21i −0.262003 0.362166i
\(175\) 4.93194e21i 0.183078i
\(176\) 2.96519e22 + 2.19146e22i 1.03974 + 0.768435i
\(177\) −2.62457e22 −0.869612
\(178\) −2.61768e22 + 1.89372e22i −0.819816 + 0.593084i
\(179\) 1.76290e22 0.522032 0.261016 0.965334i \(-0.415942\pi\)
0.261016 + 0.965334i \(0.415942\pi\)
\(180\) −7.45745e22 2.45670e22i −2.08865 0.688062i
\(181\) 3.12653e22i 0.828469i 0.910170 + 0.414235i \(0.135951\pi\)
−0.910170 + 0.414235i \(0.864049\pi\)
\(182\) 5.96331e22 4.31407e22i 1.49545 1.08186i
\(183\) 1.04658e23i 2.48464i
\(184\) −3.51655e22 + 1.11889e22i −0.790566 + 0.251541i
\(185\) 4.45269e22 0.948212
\(186\) −1.92087e21 2.65521e21i −0.0387587 0.0535759i
\(187\) 5.36405e21 0.102583
\(188\) −3.43823e22 1.13265e22i −0.623385 0.205361i
\(189\) 1.40360e23i 2.41337i
\(190\) −3.07004e22 4.24369e22i −0.500735 0.692162i
\(191\) 8.00644e22i 1.23910i −0.784958 0.619549i \(-0.787315\pi\)
0.784958 0.619549i \(-0.212685\pi\)
\(192\) 9.71798e22 6.88067e22i 1.42746 1.01069i
\(193\) 4.76538e21 0.0664544 0.0332272 0.999448i \(-0.489421\pi\)
0.0332272 + 0.999448i \(0.489421\pi\)
\(194\) 7.19341e22 5.20397e22i 0.952615 0.689155i
\(195\) −2.10377e23 −2.64639
\(196\) −1.82534e22 + 5.54091e22i −0.218163 + 0.662247i
\(197\) 3.59368e22i 0.408204i −0.978950 0.204102i \(-0.934573\pi\)
0.978950 0.204102i \(-0.0654274\pi\)
\(198\) −1.99754e23 + 1.44509e23i −2.15697 + 1.56043i
\(199\) 1.66755e22i 0.171218i −0.996329 0.0856088i \(-0.972716\pi\)
0.996329 0.0856088i \(-0.0272835\pi\)
\(200\) 4.36308e21 + 1.37127e22i 0.0426082 + 0.133913i
\(201\) 3.08677e23 2.86777
\(202\) 7.73331e22 + 1.06897e23i 0.683678 + 0.945044i
\(203\) 3.95679e22 0.332953
\(204\) 5.42010e21 1.64530e22i 0.0434216 0.131809i
\(205\) 3.95051e22i 0.301380i
\(206\) −1.07504e23 1.48602e23i −0.781182 1.07982i
\(207\) 2.46756e23i 1.70830i
\(208\) 1.27638e23 1.72703e23i 0.842069 1.13937i
\(209\) −1.64467e23 −1.03423
\(210\) 3.28865e23 2.37913e23i 1.97163 1.42635i
\(211\) 5.82077e22 0.332779 0.166390 0.986060i \(-0.446789\pi\)
0.166390 + 0.986060i \(0.446789\pi\)
\(212\) −3.50224e22 1.15374e22i −0.190980 0.0629142i
\(213\) 8.67028e22i 0.451063i
\(214\) −2.48165e23 + 1.79532e23i −1.23198 + 0.891258i
\(215\) 2.40093e22i 0.113762i
\(216\) 1.24170e23 + 3.90255e23i 0.561669 + 1.76527i
\(217\) 1.14036e22 0.0492544
\(218\) −1.91661e23 2.64932e23i −0.790622 1.09287i
\(219\) −3.42929e23 −1.35134
\(220\) 3.48311e23 + 1.14744e23i 1.31142 + 0.432019i
\(221\) 3.12421e22i 0.112413i
\(222\) −2.64655e23 3.65831e23i −0.910229 1.25820i
\(223\) 5.04418e23i 1.65860i 0.558803 + 0.829301i \(0.311261\pi\)
−0.558803 + 0.829301i \(0.688739\pi\)
\(224\) −4.21933e21 + 4.14316e23i −0.0132667 + 1.30272i
\(225\) −9.62218e22 −0.289367
\(226\) −1.95317e23 + 1.41299e23i −0.561895 + 0.406495i
\(227\) 4.05442e23 1.11602 0.558008 0.829835i \(-0.311566\pi\)
0.558008 + 0.829835i \(0.311566\pi\)
\(228\) −1.66186e23 + 5.04465e23i −0.437769 + 1.32887i
\(229\) 4.75091e23i 1.19790i 0.800785 + 0.598952i \(0.204416\pi\)
−0.800785 + 0.598952i \(0.795584\pi\)
\(230\) −2.97378e23 + 2.15134e23i −0.717845 + 0.519315i
\(231\) 1.27454e24i 2.94600i
\(232\) 1.10014e23 3.50040e22i 0.243539 0.0774887i
\(233\) 6.24482e22 0.132422 0.0662110 0.997806i \(-0.478909\pi\)
0.0662110 + 0.997806i \(0.478909\pi\)
\(234\) 8.41672e23 + 1.16344e24i 1.70995 + 2.36366i
\(235\) −3.60048e23 −0.700942
\(236\) 8.33750e22 2.53089e23i 0.155566 0.472230i
\(237\) 1.26762e24i 2.26729i
\(238\) 3.53312e22 + 4.88381e22i 0.0605883 + 0.0837508i
\(239\) 4.38763e23i 0.721525i 0.932658 + 0.360763i \(0.117484\pi\)
−0.932658 + 0.360763i \(0.882516\pi\)
\(240\) 7.03901e23 9.52423e23i 1.11020 1.50216i
\(241\) −6.38433e23 −0.965928 −0.482964 0.875640i \(-0.660440\pi\)
−0.482964 + 0.875640i \(0.660440\pi\)
\(242\) 3.74829e23 2.71165e23i 0.544102 0.393622i
\(243\) −1.52896e23 −0.212978
\(244\) −1.00923e24 3.32470e23i −1.34925 0.444481i
\(245\) 5.80238e23i 0.744639i
\(246\) 3.24572e23 2.34807e23i 0.399908 0.289308i
\(247\) 9.57913e23i 1.13333i
\(248\) 3.17065e22 1.00883e22i 0.0360272 0.0114631i
\(249\) 2.30445e24 2.51521
\(250\) −5.13078e23 7.09224e23i −0.538001 0.743676i
\(251\) −4.03875e23 −0.406921 −0.203460 0.979083i \(-0.565219\pi\)
−0.203460 + 0.979083i \(0.565219\pi\)
\(252\) −2.63143e24 8.66869e23i −2.54792 0.839360i
\(253\) 1.15251e24i 1.07260i
\(254\) 3.28920e23 + 4.54664e23i 0.294275 + 0.406774i
\(255\) 1.72294e23i 0.148207i
\(256\) 3.54796e23 + 1.15569e24i 0.293481 + 0.955965i
\(257\) −1.49185e24 −1.18685 −0.593424 0.804890i \(-0.702224\pi\)
−0.593424 + 0.804890i \(0.702224\pi\)
\(258\) 1.97260e23 1.42705e23i 0.150953 0.109205i
\(259\) 1.57117e24 1.15671
\(260\) 6.68308e23 2.02869e24i 0.473416 1.43708i
\(261\) 7.71967e23i 0.526252i
\(262\) 1.96704e24 1.42303e24i 1.29063 0.933684i
\(263\) 3.50322e23i 0.221263i 0.993861 + 0.110632i \(0.0352874\pi\)
−0.993861 + 0.110632i \(0.964713\pi\)
\(264\) −1.12753e24 3.54371e24i −0.685629 2.15486i
\(265\) −3.66751e23 −0.214740
\(266\) −1.08329e24 1.49742e24i −0.610841 0.844362i
\(267\) 3.25859e24 1.76977
\(268\) −9.80578e23 + 2.97660e24i −0.513020 + 1.55730i
\(269\) 2.56975e24i 1.29529i −0.761941 0.647646i \(-0.775754\pi\)
0.761941 0.647646i \(-0.224246\pi\)
\(270\) 2.38748e24 + 3.30020e24i 1.15959 + 1.60289i
\(271\) 3.31630e24i 1.55225i 0.630582 + 0.776123i \(0.282816\pi\)
−0.630582 + 0.776123i \(0.717184\pi\)
\(272\) 1.41439e23 + 1.04533e23i 0.0638089 + 0.0471589i
\(273\) −7.42335e24 −3.22830
\(274\) −1.55398e24 + 1.12421e24i −0.651539 + 0.471346i
\(275\) 4.49418e23 0.181687
\(276\) 3.53506e24 + 1.16455e24i 1.37818 + 0.454012i
\(277\) 4.21196e24i 1.58375i −0.610683 0.791876i \(-0.709105\pi\)
0.610683 0.791876i \(-0.290895\pi\)
\(278\) −3.46233e24 + 2.50477e24i −1.25580 + 0.908490i
\(279\) 2.22484e23i 0.0778496i
\(280\) 1.24950e24 + 3.92705e24i 0.421848 + 1.32583i
\(281\) 4.42895e24 1.44290 0.721452 0.692465i \(-0.243475\pi\)
0.721452 + 0.692465i \(0.243475\pi\)
\(282\) 2.14002e24 + 2.95814e24i 0.672864 + 0.930095i
\(283\) 1.44352e24 0.438086 0.219043 0.975715i \(-0.429706\pi\)
0.219043 + 0.975715i \(0.429706\pi\)
\(284\) 8.36082e23 + 2.75430e23i 0.244943 + 0.0806914i
\(285\) 5.28271e24i 1.49420i
\(286\) −3.93115e24 5.43401e24i −1.07364 1.48409i
\(287\) 1.39397e24i 0.367651i
\(288\) −8.08327e24 8.23188e22i −2.05903 0.0209688i
\(289\) −4.03864e24 −0.993704
\(290\) 9.30338e23 6.73039e23i 0.221137 0.159978i
\(291\) −8.95463e24 −2.05645
\(292\) 1.08939e24 3.30689e24i 0.241743 0.733824i
\(293\) 8.90093e24i 1.90879i −0.298541 0.954397i \(-0.596500\pi\)
0.298541 0.954397i \(-0.403500\pi\)
\(294\) 4.76721e24 3.44877e24i 0.988077 0.714810i
\(295\) 2.65033e24i 0.530981i
\(296\) 4.36847e24 1.38995e24i 0.846081 0.269204i
\(297\) 1.27902e25 2.39503
\(298\) 2.78450e24 + 3.84900e24i 0.504179 + 0.696924i
\(299\) 6.71261e24 1.17538
\(300\) 4.54114e23 1.37849e24i 0.0769046 0.233448i
\(301\) 8.47191e23i 0.138777i
\(302\) 3.93720e24 + 5.44237e24i 0.623905 + 0.862420i
\(303\) 1.33070e25i 2.04011i
\(304\) −4.33667e24 3.20508e24i −0.643311 0.475448i
\(305\) −1.05686e25 −1.51711
\(306\) −9.52828e23 + 6.89310e23i −0.132373 + 0.0957635i
\(307\) 8.30730e23 0.111706 0.0558529 0.998439i \(-0.482212\pi\)
0.0558529 + 0.998439i \(0.482212\pi\)
\(308\) 1.22905e25 + 4.04884e24i 1.59978 + 0.527016i
\(309\) 1.84986e25i 2.33106i
\(310\) 2.68127e23 1.93972e23i 0.0327132 0.0236659i
\(311\) 1.01133e25i 1.19478i −0.801951 0.597390i \(-0.796204\pi\)
0.801951 0.597390i \(-0.203796\pi\)
\(312\) −2.06398e25 + 6.56713e24i −2.36135 + 0.751328i
\(313\) 6.25698e24 0.693300 0.346650 0.937995i \(-0.387319\pi\)
0.346650 + 0.937995i \(0.387319\pi\)
\(314\) −7.38738e24 1.02115e25i −0.792855 1.09596i
\(315\) −2.75561e25 −2.86491
\(316\) 1.22238e25 + 4.02687e24i 1.23122 + 0.405599i
\(317\) 6.36417e24i 0.621083i −0.950560 0.310541i \(-0.899490\pi\)
0.950560 0.310541i \(-0.100510\pi\)
\(318\) 2.17986e24 + 3.01321e24i 0.206138 + 0.284943i
\(319\) 3.60559e24i 0.330422i
\(320\) 6.94819e24 + 9.81334e24i 0.617124 + 0.871600i
\(321\) 3.08926e25 2.65953
\(322\) −1.04933e25 + 7.59119e24i −0.875692 + 0.633507i
\(323\) −7.84509e23 −0.0634706
\(324\) 4.71036e24 1.42986e25i 0.369491 1.12161i
\(325\) 2.61757e24i 0.199097i
\(326\) −8.98652e23 + 6.50117e23i −0.0662851 + 0.0479530i
\(327\) 3.29797e25i 2.35923i
\(328\) 1.23319e24 + 3.87579e24i 0.0855640 + 0.268919i
\(329\) −1.27046e25 −0.855072
\(330\) −2.16796e25 2.99675e25i −1.41550 1.95664i
\(331\) 1.21569e25 0.770093 0.385046 0.922897i \(-0.374185\pi\)
0.385046 + 0.922897i \(0.374185\pi\)
\(332\) −7.32058e24 + 2.22220e25i −0.449951 + 1.36585i
\(333\) 3.06535e25i 1.82826i
\(334\) −9.46362e24 1.30815e25i −0.547763 0.757169i
\(335\) 3.11706e25i 1.75105i
\(336\) 2.48378e25 3.36071e25i 1.35432 1.83247i
\(337\) −3.30993e25 −1.75194 −0.875970 0.482366i \(-0.839778\pi\)
−0.875970 + 0.482366i \(0.839778\pi\)
\(338\) −1.58819e25 + 1.14895e25i −0.816086 + 0.590385i
\(339\) 2.43138e25 1.21299
\(340\) 1.66145e24 + 5.47329e23i 0.0804817 + 0.0265130i
\(341\) 1.03914e24i 0.0488800i
\(342\) 2.92147e25 2.11349e25i 1.33457 0.965472i
\(343\) 8.88976e24i 0.394411i
\(344\) 7.49474e23 + 2.35552e24i 0.0322977 + 0.101508i
\(345\) 3.70188e25 1.54964
\(346\) −8.04209e24 1.11165e25i −0.327045 0.452073i
\(347\) −1.29207e25 −0.510493 −0.255247 0.966876i \(-0.582157\pi\)
−0.255247 + 0.966876i \(0.582157\pi\)
\(348\) −1.10593e25 3.64326e24i −0.424557 0.139861i
\(349\) 1.52161e25i 0.567608i −0.958882 0.283804i \(-0.908403\pi\)
0.958882 0.283804i \(-0.0915965\pi\)
\(350\) 2.96017e24 + 4.09182e24i 0.107309 + 0.148332i
\(351\) 7.44943e25i 2.62453i
\(352\) 3.77541e25 + 3.84482e23i 1.29282 + 0.0131659i
\(353\) 1.15184e24 0.0383394 0.0191697 0.999816i \(-0.493898\pi\)
0.0191697 + 0.999816i \(0.493898\pi\)
\(354\) −2.17749e25 + 1.57528e25i −0.704571 + 0.509711i
\(355\) 8.75537e24 0.275417
\(356\) −1.03516e25 + 3.14228e25i −0.316597 + 0.961047i
\(357\) 6.07956e24i 0.180796i
\(358\) 1.46260e25 1.05810e25i 0.422957 0.305982i
\(359\) 1.62522e25i 0.457053i −0.973538 0.228527i \(-0.926609\pi\)
0.973538 0.228527i \(-0.0733908\pi\)
\(360\) −7.66165e25 + 2.43777e25i −2.09555 + 0.666757i
\(361\) −1.35362e25 −0.360100
\(362\) 1.87655e25 + 2.59395e25i 0.485596 + 0.671236i
\(363\) −4.66602e25 −1.17457
\(364\) 2.35818e25 7.15840e25i 0.577516 1.75308i
\(365\) 3.46295e25i 0.825120i
\(366\) 6.28164e25 + 8.68307e25i 1.45634 + 2.01309i
\(367\) 1.86174e25i 0.420009i 0.977700 + 0.210004i \(0.0673478\pi\)
−0.977700 + 0.210004i \(0.932652\pi\)
\(368\) −2.24597e25 + 3.03894e25i −0.493090 + 0.667181i
\(369\) −2.71963e25 −0.581094
\(370\) 3.69421e25 2.67252e25i 0.768253 0.555782i
\(371\) −1.29411e25 −0.261959
\(372\) −3.18733e24 1.05000e24i −0.0628056 0.0206900i
\(373\) 8.50867e24i 0.163220i −0.996664 0.0816100i \(-0.973994\pi\)
0.996664 0.0816100i \(-0.0260062\pi\)
\(374\) 4.45033e24 3.21952e24i 0.0831143 0.0601278i
\(375\) 8.82870e25i 1.60540i
\(376\) −3.53238e25 + 1.12392e25i −0.625444 + 0.199003i
\(377\) −2.10002e25 −0.362084
\(378\) 8.42445e25 + 1.16451e26i 1.41457 + 1.95535i
\(379\) 7.81947e25 1.27875 0.639375 0.768895i \(-0.279193\pi\)
0.639375 + 0.768895i \(0.279193\pi\)
\(380\) −5.09416e25 1.67816e25i −0.811403 0.267300i
\(381\) 5.65983e25i 0.878119i
\(382\) −4.80549e25 6.64260e25i −0.726281 1.00393i
\(383\) 5.58884e25i 0.822875i −0.911438 0.411438i \(-0.865027\pi\)
0.911438 0.411438i \(-0.134973\pi\)
\(384\) 3.93279e25 1.15414e26i 0.564142 1.65556i
\(385\) 1.28705e26 1.79882
\(386\) 3.95363e24 2.86020e24i 0.0538422 0.0389514i
\(387\) −1.65286e25 −0.219345
\(388\) 2.84463e25 8.63502e25i 0.367882 1.11672i
\(389\) 1.08837e26i 1.37176i 0.727714 + 0.685881i \(0.240583\pi\)
−0.727714 + 0.685881i \(0.759417\pi\)
\(390\) −1.74541e26 + 1.26269e26i −2.14413 + 1.55114i
\(391\) 5.49747e24i 0.0658257i
\(392\) 1.81127e25 + 5.69263e25i 0.211408 + 0.664434i
\(393\) −2.44865e26 −2.78613
\(394\) −2.15694e25 2.98153e25i −0.239263 0.330732i
\(395\) 1.28006e26 1.38440
\(396\) −7.89926e25 + 2.39786e26i −0.832980 + 2.52856i
\(397\) 6.59942e25i 0.678579i −0.940682 0.339290i \(-0.889813\pi\)
0.940682 0.339290i \(-0.110187\pi\)
\(398\) −1.00087e25 1.38350e25i −0.100357 0.138723i
\(399\) 1.86405e26i 1.82276i
\(400\) 1.18503e25 + 8.75811e24i 0.113013 + 0.0835239i
\(401\) −1.61721e26 −1.50426 −0.752130 0.659015i \(-0.770973\pi\)
−0.752130 + 0.659015i \(0.770973\pi\)
\(402\) 2.56096e26 1.85269e26i 2.32350 1.68090i
\(403\) −6.05233e24 −0.0535639
\(404\) 1.28320e26 + 4.22723e25i 1.10785 + 0.364958i
\(405\) 1.49733e26i 1.26115i
\(406\) 3.28278e25 2.37488e25i 0.269762 0.195156i
\(407\) 1.43172e26i 1.14792i
\(408\) −5.37833e24 1.69035e25i −0.0420771 0.132244i
\(409\) −4.61427e25 −0.352266 −0.176133 0.984366i \(-0.556359\pi\)
−0.176133 + 0.984366i \(0.556359\pi\)
\(410\) 2.37111e25 + 3.27757e25i 0.176650 + 0.244182i
\(411\) 1.93446e26 1.40650
\(412\) −1.78383e26 5.87645e25i −1.26585 0.417007i
\(413\) 9.35191e25i 0.647739i
\(414\) −1.48104e26 2.04723e26i −1.00130 1.38408i
\(415\) 2.32707e26i 1.53578i
\(416\) 2.23936e24 2.19893e26i 0.0144275 1.41670i
\(417\) 4.31004e26 2.71095
\(418\) −1.36451e26 + 9.87138e25i −0.837944 + 0.606199i
\(419\) −5.29625e24 −0.0317562 −0.0158781 0.999874i \(-0.505054\pi\)
−0.0158781 + 0.999874i \(0.505054\pi\)
\(420\) 1.30049e26 3.94772e26i 0.761405 2.31129i
\(421\) 1.49367e26i 0.853954i 0.904262 + 0.426977i \(0.140422\pi\)
−0.904262 + 0.426977i \(0.859578\pi\)
\(422\) 4.82925e25 3.49365e25i 0.269622 0.195054i
\(423\) 2.47866e26i 1.35149i
\(424\) −3.59813e25 + 1.14485e25i −0.191610 + 0.0609661i
\(425\) 2.14373e24 0.0111501
\(426\) −5.20393e25 7.19336e25i −0.264384 0.365457i
\(427\) −3.72921e26 −1.85071
\(428\) −9.81368e25 + 2.97900e26i −0.475767 + 1.44422i
\(429\) 6.76446e26i 3.20376i
\(430\) 1.44105e25 + 1.99195e25i 0.0666798 + 0.0921711i
\(431\) 5.76714e25i 0.260728i 0.991466 + 0.130364i \(0.0416146\pi\)
−0.991466 + 0.130364i \(0.958385\pi\)
\(432\) 3.37251e26 + 2.49250e26i 1.48976 + 1.10103i
\(433\) 3.62350e26 1.56405 0.782023 0.623250i \(-0.214188\pi\)
0.782023 + 0.623250i \(0.214188\pi\)
\(434\) 9.46109e24 6.84449e24i 0.0399065 0.0288698i
\(435\) −1.15812e26 −0.477377
\(436\) −3.18026e26 1.04767e26i −1.28114 0.422046i
\(437\) 1.68558e26i 0.663644i
\(438\) −2.84514e26 + 2.05827e26i −1.09487 + 0.792067i
\(439\) 2.02029e26i 0.759921i 0.925003 + 0.379960i \(0.124062\pi\)
−0.925003 + 0.379960i \(0.875938\pi\)
\(440\) 3.57849e26 1.13860e26i 1.31575 0.418642i
\(441\) −3.99451e26 −1.43575
\(442\) −1.87516e25 2.59202e25i −0.0658894 0.0910786i
\(443\) −5.17324e26 −1.77716 −0.888578 0.458725i \(-0.848306\pi\)
−0.888578 + 0.458725i \(0.848306\pi\)
\(444\) −4.39146e26 1.44668e26i −1.47496 0.485894i
\(445\) 3.29056e26i 1.08061i
\(446\) 3.02754e26 + 4.18494e26i 0.972167 + 1.34382i
\(447\) 4.79138e26i 1.50448i
\(448\) 2.45173e26 + 3.46273e26i 0.752823 + 1.06326i
\(449\) 5.37552e26 1.61420 0.807099 0.590416i \(-0.201036\pi\)
0.807099 + 0.590416i \(0.201036\pi\)
\(450\) −7.98312e25 + 5.77527e25i −0.234448 + 0.169608i
\(451\) 1.27024e26 0.364856
\(452\) −7.72378e25 + 2.34460e26i −0.216993 + 0.658694i
\(453\) 6.77487e26i 1.86174i
\(454\) 3.36378e26 2.43348e26i 0.904210 0.654138i
\(455\) 7.49620e26i 1.97118i
\(456\) 1.64905e26 + 5.18279e26i 0.424214 + 1.33326i
\(457\) −2.00836e26 −0.505452 −0.252726 0.967538i \(-0.581327\pi\)
−0.252726 + 0.967538i \(0.581327\pi\)
\(458\) 2.85151e26 + 3.94163e26i 0.702135 + 0.970556i
\(459\) 6.10091e25 0.146983
\(460\) −1.17598e26 + 3.56975e26i −0.277218 + 0.841510i
\(461\) 7.05245e26i 1.62679i −0.581713 0.813394i \(-0.697617\pi\)
0.581713 0.813394i \(-0.302383\pi\)
\(462\) −7.64983e26 1.05743e27i −1.72676 2.38689i
\(463\) 3.98400e26i 0.880054i −0.897984 0.440027i \(-0.854969\pi\)
0.897984 0.440027i \(-0.145031\pi\)
\(464\) 7.02645e25 9.50722e25i 0.151899 0.205529i
\(465\) −3.33775e25 −0.0706193
\(466\) 5.18106e25 3.74816e25i 0.107290 0.0776174i
\(467\) 7.28398e25 0.147639 0.0738193 0.997272i \(-0.476481\pi\)
0.0738193 + 0.997272i \(0.476481\pi\)
\(468\) 1.39660e27 + 4.60080e26i 2.77085 + 0.912799i
\(469\) 1.09988e27i 2.13608i
\(470\) −2.98717e26 + 2.16102e26i −0.567912 + 0.410848i
\(471\) 1.27117e27i 2.36589i
\(472\) −8.27324e25 2.60019e26i −0.150749 0.473790i
\(473\) 7.71995e25 0.137722
\(474\) −7.60833e26 1.05169e27i −1.32894 1.83699i
\(475\) −6.57288e25 −0.112414
\(476\) 5.86256e25 + 1.93130e25i 0.0981788 + 0.0323430i
\(477\) 2.52481e26i 0.414042i
\(478\) 2.63347e26 + 3.64023e26i 0.422912 + 0.584589i
\(479\) 4.91845e26i 0.773524i −0.922180 0.386762i \(-0.873594\pi\)
0.922180 0.386762i \(-0.126406\pi\)
\(480\) 1.23496e25 1.21267e27i 0.0190214 1.86780i
\(481\) −8.33881e26 −1.25792
\(482\) −5.29680e26 + 3.83190e26i −0.782607 + 0.566165i
\(483\) 1.30624e27 1.89039
\(484\) 1.48226e26 4.49948e26i 0.210122 0.637835i
\(485\) 9.04251e26i 1.25566i
\(486\) −1.26852e26 + 9.17689e25i −0.172557 + 0.124834i
\(487\) 5.17758e25i 0.0689982i −0.999405 0.0344991i \(-0.989016\pi\)
0.999405 0.0344991i \(-0.0109836\pi\)
\(488\) −1.03686e27 + 3.29907e26i −1.35370 + 0.430719i
\(489\) 1.11868e26 0.143092
\(490\) 3.48261e26 + 4.81399e26i 0.436460 + 0.603315i
\(491\) −9.85626e26 −1.21031 −0.605156 0.796107i \(-0.706889\pi\)
−0.605156 + 0.796107i \(0.706889\pi\)
\(492\) 1.28352e26 3.89619e26i 0.154437 0.468801i
\(493\) 1.71987e25i 0.0202780i
\(494\) 5.74943e26 + 7.94740e26i 0.664286 + 0.918239i
\(495\) 2.51102e27i 2.84314i
\(496\) 2.02505e25 2.74002e25i 0.0224708 0.0304044i
\(497\) 3.08941e26 0.335979
\(498\) 1.91191e27 1.38314e27i 2.03786 1.47426i
\(499\) −5.61943e26 −0.587066 −0.293533 0.955949i \(-0.594831\pi\)
−0.293533 + 0.955949i \(0.594831\pi\)
\(500\) −8.51358e26 2.80462e26i −0.871791 0.287193i
\(501\) 1.62844e27i 1.63453i
\(502\) −3.35078e26 + 2.42407e26i −0.329692 + 0.238511i
\(503\) 1.05876e27i 1.02121i −0.859815 0.510606i \(-0.829421\pi\)
0.859815 0.510606i \(-0.170579\pi\)
\(504\) −2.70348e27 + 8.60188e26i −2.55634 + 0.813370i
\(505\) 1.34375e27 1.24568
\(506\) 6.91740e26 + 9.56188e26i 0.628692 + 0.869036i
\(507\) 1.97704e27 1.76172
\(508\) 5.45782e26 + 1.79796e26i 0.476850 + 0.157088i
\(509\) 3.14483e26i 0.269414i −0.990885 0.134707i \(-0.956991\pi\)
0.990885 0.134707i \(-0.0430093\pi\)
\(510\) −1.03412e26 1.42945e26i −0.0868696 0.120079i
\(511\) 1.22193e27i 1.00656i
\(512\) 9.88009e26 + 7.45878e26i 0.798107 + 0.602515i
\(513\) −1.87060e27 −1.48186
\(514\) −1.23773e27 + 8.95417e26i −0.961600 + 0.695655i
\(515\) −1.86801e27 −1.42333
\(516\) 7.80061e25 2.36792e26i 0.0582950 0.176958i
\(517\) 1.15770e27i 0.848573i
\(518\) 1.30354e27 9.43023e26i 0.937185 0.677992i
\(519\) 1.38383e27i 0.975907i
\(520\) −6.63157e26 2.08423e27i −0.458757 1.44183i
\(521\) −4.30189e26 −0.291932 −0.145966 0.989290i \(-0.546629\pi\)
−0.145966 + 0.989290i \(0.546629\pi\)
\(522\) 4.63338e26 + 6.40469e26i 0.308455 + 0.426376i
\(523\) 1.17110e27 0.764851 0.382425 0.923986i \(-0.375089\pi\)
0.382425 + 0.923986i \(0.375089\pi\)
\(524\) 7.77864e26 2.36125e27i 0.498415 1.51297i
\(525\) 5.09366e26i 0.320211i
\(526\) 2.10264e26 + 2.90647e26i 0.129691 + 0.179270i
\(527\) 4.95672e24i 0.00299977i
\(528\) −3.06241e27 2.26332e27i −1.81855 1.34402i
\(529\) 5.34980e26 0.311732
\(530\) −3.04278e26 + 2.20125e26i −0.173985 + 0.125867i
\(531\) 1.82455e27 1.02379
\(532\) −1.79752e27 5.92155e26i −0.989822 0.326076i
\(533\) 7.39834e26i 0.399818i
\(534\) 2.70351e27 1.95582e27i 1.43389 1.03733i
\(535\) 3.11958e27i 1.62389i
\(536\) 9.73021e26 + 3.05810e27i 0.497135 + 1.56244i
\(537\) −1.82071e27 −0.913055
\(538\) −1.54237e27 2.13201e27i −0.759218 1.04946i
\(539\) 1.86569e27 0.901473
\(540\) 3.96159e27 + 1.30506e27i 1.87902 + 0.619004i
\(541\) 1.72051e27i 0.801098i −0.916275 0.400549i \(-0.868819\pi\)
0.916275 0.400549i \(-0.131181\pi\)
\(542\) 1.99045e27 + 2.75139e27i 0.909827 + 1.25765i
\(543\) 3.22904e27i 1.44902i
\(544\) 1.80087e26 + 1.83398e24i 0.0793403 + 0.000807989i
\(545\) −3.33034e27 −1.44053
\(546\) −6.15884e27 + 4.45552e27i −2.61561 + 1.89222i
\(547\) 4.25552e26 0.177451 0.0887256 0.996056i \(-0.471721\pi\)
0.0887256 + 0.996056i \(0.471721\pi\)
\(548\) −6.14521e26 + 1.86541e27i −0.251612 + 0.763781i
\(549\) 7.27566e27i 2.92516i
\(550\) 3.72863e26 2.69742e26i 0.147205 0.106493i
\(551\) 5.27328e26i 0.204440i
\(552\) 3.63186e27 1.15558e27i 1.38273 0.439954i
\(553\) 4.51682e27 1.68881
\(554\) −2.52804e27 3.49449e27i −0.928294 1.28317i
\(555\) −4.59870e27 −1.65846
\(556\) −1.36918e27 + 4.15621e27i −0.484966 + 1.47214i
\(557\) 4.34136e26i 0.151034i −0.997145 0.0755168i \(-0.975939\pi\)
0.997145 0.0755168i \(-0.0240606\pi\)
\(558\) 1.33536e26 + 1.84585e26i 0.0456305 + 0.0630747i
\(559\) 4.49636e26i 0.150919i
\(560\) 3.39369e27 + 2.50815e27i 1.11890 + 0.826940i
\(561\) −5.53994e26 −0.179422
\(562\) 3.67451e27 2.65827e27i 1.16906 0.845738i
\(563\) 2.52994e27 0.790726 0.395363 0.918525i \(-0.370619\pi\)
0.395363 + 0.918525i \(0.370619\pi\)
\(564\) 3.55097e27 + 1.16979e27i 1.09033 + 0.359185i
\(565\) 2.45524e27i 0.740643i
\(566\) 1.19763e27 8.66409e26i 0.354943 0.256778i
\(567\) 5.28347e27i 1.53847i
\(568\) 8.58975e26 2.73307e26i 0.245752 0.0781929i
\(569\) −7.02287e26 −0.197420 −0.0987102 0.995116i \(-0.531472\pi\)
−0.0987102 + 0.995116i \(0.531472\pi\)
\(570\) 3.17070e27 + 4.38284e27i 0.875804 + 1.21062i
\(571\) −5.41269e27 −1.46910 −0.734551 0.678554i \(-0.762607\pi\)
−0.734551 + 0.678554i \(0.762607\pi\)
\(572\) −6.52302e27 2.14887e27i −1.73976 0.573126i
\(573\) 8.26897e27i 2.16723i
\(574\) 8.36668e26 + 1.15652e27i 0.215493 + 0.297875i
\(575\) 4.60597e26i 0.116585i
\(576\) −6.75576e27 + 4.78331e27i −1.68054 + 1.18988i
\(577\) −6.96493e27 −1.70278 −0.851390 0.524533i \(-0.824240\pi\)
−0.851390 + 0.524533i \(0.824240\pi\)
\(578\) −3.35069e27 + 2.42401e27i −0.805112 + 0.582446i
\(579\) −4.92163e26 −0.116231
\(580\) 3.67901e26 1.11678e27i 0.0853987 0.259233i
\(581\) 8.21127e27i 1.87348i
\(582\) −7.42928e27 + 5.37460e27i −1.66616 + 1.20536i
\(583\) 1.17925e27i 0.259968i
\(584\) −1.08099e27 3.39744e27i −0.234258 0.736247i
\(585\) 1.46250e28 3.11558
\(586\) −5.34237e27 7.38472e27i −1.11881 1.54653i
\(587\) 1.18193e27 0.243339 0.121670 0.992571i \(-0.461175\pi\)
0.121670 + 0.992571i \(0.461175\pi\)
\(588\) 1.88519e27 5.72259e27i 0.381576 1.15830i
\(589\) 1.51978e26i 0.0302432i
\(590\) −1.59074e27 2.19886e27i −0.311227 0.430208i
\(591\) 3.71152e27i 0.713965i
\(592\) 2.79008e27 3.77515e27i 0.527715 0.714032i
\(593\) 7.11802e27 1.32377 0.661885 0.749605i \(-0.269757\pi\)
0.661885 + 0.749605i \(0.269757\pi\)
\(594\) 1.06114e28 7.67670e27i 1.94048 1.40381i
\(595\) 6.13922e26 0.110393
\(596\) 4.62037e27 + 1.52208e27i 0.816984 + 0.269138i
\(597\) 1.72223e27i 0.299466i
\(598\) 5.56917e27 4.02893e27i 0.952310 0.688935i
\(599\) 6.82077e27i 1.14701i −0.819204 0.573503i \(-0.805584\pi\)
0.819204 0.573503i \(-0.194416\pi\)
\(600\) −4.50614e26 1.41623e27i −0.0745233 0.234219i
\(601\) 9.85205e27 1.60244 0.801220 0.598370i \(-0.204185\pi\)
0.801220 + 0.598370i \(0.204185\pi\)
\(602\) 5.08487e26 + 7.02878e26i 0.0813420 + 0.112439i
\(603\) −2.14587e28 −3.37621
\(604\) 6.53306e27 + 2.15218e27i 1.01099 + 0.333050i
\(605\) 4.71181e27i 0.717190i
\(606\) −7.98688e27 1.10402e28i −1.19578 1.65292i
\(607\) 5.11586e25i 0.00753411i −0.999993 0.00376706i \(-0.998801\pi\)
0.999993 0.00376706i \(-0.00119909\pi\)
\(608\) −5.52166e27 5.62317e25i −0.799896 0.00814601i
\(609\) −4.08653e27 −0.582347
\(610\) −8.76828e27 + 6.34328e27i −1.22918 + 0.889233i
\(611\) 6.74282e27 0.929886
\(612\) −3.76795e26 + 1.14378e27i −0.0511200 + 0.155178i
\(613\) 1.04122e28i 1.38976i −0.719126 0.694880i \(-0.755458\pi\)
0.719126 0.694880i \(-0.244542\pi\)
\(614\) 6.89221e26 4.98607e26i 0.0905055 0.0654749i
\(615\) 4.08005e27i 0.527126i
\(616\) 1.26270e28 4.01764e27i 1.60507 0.510697i
\(617\) −8.77445e27 −1.09741 −0.548704 0.836017i \(-0.684879\pi\)
−0.548704 + 0.836017i \(0.684879\pi\)
\(618\) 1.11029e28 + 1.53475e28i 1.36632 + 1.88865i
\(619\) 8.64119e27 1.04633 0.523163 0.852233i \(-0.324752\pi\)
0.523163 + 0.852233i \(0.324752\pi\)
\(620\) 1.06030e26 3.21861e26i 0.0126332 0.0383488i
\(621\) 1.31083e28i 1.53684i
\(622\) −6.07003e27 8.39056e27i −0.700304 0.968026i
\(623\) 1.16110e28i 1.31823i
\(624\) −1.31824e28 + 1.78366e28i −1.47281 + 1.99281i
\(625\) −1.01934e28 −1.12078
\(626\) 5.19115e27 3.75546e27i 0.561720 0.406368i
\(627\) 1.69860e28 1.80890
\(628\) −1.22580e28 4.03814e27i −1.28476 0.423238i
\(629\) 6.82929e26i 0.0704481i
\(630\) −2.28621e28 + 1.65393e28i −2.32119 + 1.67923i
\(631\) 2.44535e27i 0.244369i 0.992507 + 0.122185i \(0.0389900\pi\)
−0.992507 + 0.122185i \(0.961010\pi\)
\(632\) 1.25585e28 3.99584e27i 1.23529 0.393040i
\(633\) −6.01163e27 −0.582044
\(634\) −3.81980e27 5.28008e27i −0.364039 0.503209i
\(635\) 5.71537e27 0.536176
\(636\) 3.61707e27 + 1.19157e27i 0.334031 + 0.110039i
\(637\) 1.08664e28i 0.987855i
\(638\) −2.16409e27 2.99140e27i −0.193672 0.267712i
\(639\) 6.02742e27i 0.531035i
\(640\) 1.16546e28 + 3.97139e27i 1.01088 + 0.344463i
\(641\) −5.88668e27 −0.502678 −0.251339 0.967899i \(-0.580871\pi\)
−0.251339 + 0.967899i \(0.580871\pi\)
\(642\) 2.56303e28 1.85418e28i 2.15478 1.55884i
\(643\) −6.70815e27 −0.555256 −0.277628 0.960689i \(-0.589548\pi\)
−0.277628 + 0.960689i \(0.589548\pi\)
\(644\) −4.14955e27 + 1.25962e28i −0.338175 + 1.02655i
\(645\) 2.47966e27i 0.198973i
\(646\) −6.50874e26 + 4.70865e26i −0.0514247 + 0.0372024i
\(647\) 4.12884e27i 0.321207i 0.987019 + 0.160604i \(0.0513441\pi\)
−0.987019 + 0.160604i \(0.948656\pi\)
\(648\) −4.67406e27 1.46901e28i −0.358050 1.12532i
\(649\) −8.52184e27 −0.642816
\(650\) −1.57107e27 2.17168e27i −0.116698 0.161311i
\(651\) −1.17775e27 −0.0861478
\(652\) −3.55371e26 + 1.07875e27i −0.0255980 + 0.0777042i
\(653\) 9.05389e27i 0.642249i 0.947037 + 0.321124i \(0.104061\pi\)
−0.947037 + 0.321124i \(0.895939\pi\)
\(654\) 1.97946e28 + 2.73619e28i 1.38283 + 1.91147i
\(655\) 2.47268e28i 1.70120i
\(656\) 3.34939e27 + 2.47541e27i 0.226948 + 0.167729i
\(657\) 2.38398e28 1.59092
\(658\) −1.05405e28 + 7.62536e27i −0.692790 + 0.501189i
\(659\) −9.80711e27 −0.634873 −0.317436 0.948280i \(-0.602822\pi\)
−0.317436 + 0.948280i \(0.602822\pi\)
\(660\) −3.59732e28 1.18506e28i −2.29372 0.755618i
\(661\) 4.81270e27i 0.302256i 0.988514 + 0.151128i \(0.0482905\pi\)
−0.988514 + 0.151128i \(0.951709\pi\)
\(662\) 1.00861e28 7.29662e27i 0.623939 0.451379i
\(663\) 3.22665e27i 0.196615i
\(664\) 7.26416e27 + 2.28305e28i 0.436018 + 1.37036i
\(665\) −1.88235e28 −1.11297
\(666\) 1.83983e28 + 2.54319e28i 1.07161 + 1.48128i
\(667\) 3.69527e27 0.212025
\(668\) −1.57031e28 5.17307e27i −0.887609 0.292404i
\(669\) 5.20958e28i 2.90096i
\(670\) 1.87087e28 + 2.58610e28i 1.02635 + 1.41872i
\(671\) 3.39820e28i 1.83664i
\(672\) 4.35768e26 4.27901e28i 0.0232040 2.27851i
\(673\) 2.49736e28 1.31018 0.655089 0.755551i \(-0.272631\pi\)
0.655089 + 0.755551i \(0.272631\pi\)
\(674\) −2.74610e28 + 1.98663e28i −1.41944 + 1.02688i
\(675\) 5.11154e27 0.260324
\(676\) −6.28049e27 + 1.90648e28i −0.315157 + 0.956675i
\(677\) 3.55953e28i 1.75997i −0.475000 0.879986i \(-0.657552\pi\)
0.475000 0.879986i \(-0.342448\pi\)
\(678\) 2.01721e28 1.45932e28i 0.982776 0.710975i
\(679\) 3.19073e28i 1.53177i
\(680\) 1.70694e27 5.43111e26i 0.0807475 0.0256921i
\(681\) −4.18737e28 −1.95196
\(682\) −6.23697e26 8.62133e26i −0.0286504 0.0396032i
\(683\) −1.29451e28 −0.586003 −0.293002 0.956112i \(-0.594654\pi\)
−0.293002 + 0.956112i \(0.594654\pi\)
\(684\) 1.15529e28 3.50695e28i 0.515384 1.56447i
\(685\) 1.95344e28i 0.858805i
\(686\) −5.33566e27 7.37546e27i −0.231178 0.319557i
\(687\) 4.90669e28i 2.09518i
\(688\) 2.03560e27 + 1.50444e27i 0.0856658 + 0.0633125i
\(689\) 6.86834e27 0.284879
\(690\) 3.07129e28 2.22188e28i 1.25554 0.908301i
\(691\) 3.30931e28 1.33339 0.666694 0.745331i \(-0.267709\pi\)
0.666694 + 0.745331i \(0.267709\pi\)
\(692\) −1.33444e28 4.39602e27i −0.529952 0.174582i
\(693\) 8.86036e28i 3.46832i
\(694\) −1.07197e28 + 7.75503e27i −0.413608 + 0.299219i
\(695\) 4.35234e28i 1.65529i
\(696\) −1.13621e28 + 3.61518e27i −0.425959 + 0.135531i
\(697\) 6.05907e26 0.0223912
\(698\) −9.13275e27 1.26241e28i −0.332696 0.459883i
\(699\) −6.44958e27 −0.231611
\(700\) 4.91185e27 + 1.61811e27i 0.173886 + 0.0572831i
\(701\) 1.27653e27i 0.0445502i 0.999752 + 0.0222751i \(0.00709098\pi\)
−0.999752 + 0.0222751i \(0.992909\pi\)
\(702\) −4.47117e28 6.18047e28i −1.53833 2.12643i
\(703\) 2.09393e28i 0.710246i
\(704\) 3.15538e28 2.23412e28i 1.05518 0.747101i
\(705\) 3.71854e28 1.22597
\(706\) 9.55634e26 6.91339e26i 0.0310631 0.0224721i
\(707\) 4.74156e28 1.51959
\(708\) −8.61088e27 + 2.61388e28i −0.272092 + 0.825949i
\(709\) 5.44035e27i 0.169498i 0.996402 + 0.0847490i \(0.0270089\pi\)
−0.996402 + 0.0847490i \(0.972991\pi\)
\(710\) 7.26396e27 5.25500e27i 0.223146 0.161432i
\(711\) 8.81229e28i 2.66927i
\(712\) 1.02718e28 + 3.22832e28i 0.306794 + 0.964222i
\(713\) 1.06499e27 0.0313653
\(714\) −3.64897e27 5.04395e27i −0.105971 0.146483i
\(715\) −6.83084e28 −1.95620
\(716\) 5.78385e27 1.75572e28i 0.163338 0.495821i
\(717\) 4.53150e28i 1.26198i
\(718\) −9.75461e27 1.34837e28i −0.267895 0.370310i
\(719\) 2.02337e27i 0.0548008i −0.999625 0.0274004i \(-0.991277\pi\)
0.999625 0.0274004i \(-0.00872291\pi\)
\(720\) −4.89339e28 + 6.62107e28i −1.30703 + 1.76849i
\(721\) −6.59143e28 −1.73631
\(722\) −1.12304e28 + 8.12445e27i −0.291758 + 0.211068i
\(723\) 6.59367e28 1.68944
\(724\) 3.11379e28 + 1.02577e28i 0.786872 + 0.259218i
\(725\) 1.44096e27i 0.0359147i
\(726\) −3.87120e28 + 2.80056e28i −0.951655 + 0.688461i
\(727\) 9.01083e26i 0.0218485i −0.999940 0.0109242i \(-0.996523\pi\)
0.999940 0.0109242i \(-0.00347736\pi\)
\(728\) −2.34001e28 7.35441e28i −0.559634 1.75887i
\(729\) −3.42689e28 −0.808398
\(730\) −2.07847e28 2.87306e28i −0.483633 0.668523i
\(731\) 3.68242e26 0.00845200
\(732\) 1.04232e29 + 3.43371e28i 2.35989 + 0.777415i
\(733\) 6.55566e28i 1.46412i 0.681240 + 0.732060i \(0.261441\pi\)
−0.681240 + 0.732060i \(0.738559\pi\)
\(734\) 1.11742e28 + 1.54461e28i 0.246182 + 0.340296i
\(735\) 5.99264e28i 1.30240i
\(736\) −3.94045e26 + 3.86932e28i −0.00844827 + 0.829576i
\(737\) 1.00226e29 2.11985
\(738\) −2.25636e28 + 1.63233e28i −0.470810 + 0.340601i
\(739\) −6.04226e28 −1.24381 −0.621907 0.783091i \(-0.713642\pi\)
−0.621907 + 0.783091i \(0.713642\pi\)
\(740\) 1.46087e28 4.43456e28i 0.296685 0.900602i
\(741\) 9.89323e28i 1.98224i
\(742\) −1.07367e28 + 7.76731e27i −0.212242 + 0.153544i
\(743\) 9.90525e28i 1.93187i −0.258790 0.965934i \(-0.583324\pi\)
0.258790 0.965934i \(-0.416676\pi\)
\(744\) −3.27461e27 + 1.04191e27i −0.0630130 + 0.0200493i
\(745\) 4.83840e28 0.918627
\(746\) −5.10694e27 7.05928e27i −0.0956692 0.132243i
\(747\) −1.60201e29 −2.96115
\(748\) 1.75988e27 5.34220e27i 0.0320971 0.0974326i
\(749\) 1.10077e29i 1.98097i
\(750\) 5.29902e28 + 7.32480e28i 0.940985 + 1.30072i
\(751\) 4.87745e27i 0.0854661i −0.999087 0.0427330i \(-0.986394\pi\)
0.999087 0.0427330i \(-0.0136065\pi\)
\(752\) −2.25608e28 + 3.05262e28i −0.390100 + 0.527830i
\(753\) 4.17118e28 0.711720
\(754\) −1.74230e28 + 1.26044e28i −0.293365 + 0.212231i
\(755\) 6.84136e28 1.13677
\(756\) 1.39788e29 + 4.60503e28i 2.29220 + 0.755117i
\(757\) 3.69662e28i 0.598199i −0.954222 0.299099i \(-0.903314\pi\)
0.954222 0.299099i \(-0.0966862\pi\)
\(758\) 6.48748e28 4.69328e28i 1.03606 0.749521i
\(759\) 1.19030e29i 1.87602i
\(760\) −5.23365e28 +